# Video Poker Strategy Calculator

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

### Perfect Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 4,674.5051 555,901,248 0.000028 35,857.50 608.40 0.130363
Straight Flush 299.5051 2,500,035,996 0.000125 7,973.18 10.97 0.037564
Four of a Kind 153.6718 46,168,657,272 0.002316 431.75 52.04 0.355929
Full House 60.3384 223,965,825,768 0.011236 89.00 35.95 0.677950
Flush 24.245 326,685,152,676 0.016389 61.02 6.87 0.397351
Straight 18.4117 316,710,872,676 0.015889 62.94 3.40 0.292536
Three of a Kind 12.5783 1,424,656,160,316 0.071471 13.99 5.54 0.898989
Two Pair 6.745 2,459,923,126,596 0.123408 8.10 1.09 0.832388
Jacks or Better 0.9117 3,330,341,702,892 0.167075 5.99 1.37 0.152322
Nothing 0 11,801,723,081,760 0.592063 1.69 8.44 0.000000
Totals 19,933,230,517,200 1.000000 2.45 734.06 3.775393

The following table shows the results when following basic strategy only (not its exceptions):

### Basic Strategy Analysis

Hand Payoff Combinations Probability Hit Frequency Variance Return
Royal Flush 4,674.5051 559,552,464 0.000028 35,623.52 612.40 0.131220
Straight Flush 299.5051 2,479,153,476 0.000124 8,040.34 10.88 0.037250
Four of a Kind 153.6718 46,192,948,488 0.002317 431.52 52.07 0.356117
Full House 60.3384 224,080,792,632 0.011242 88.96 35.97 0.678298
Flush 24.245 324,095,737,740 0.016259 61.50 6.81 0.394201
Straight 18.4117 316,144,479,084 0.015860 63.05 3.40 0.292013
Three of a Kind 12.5783 1,425,750,484,860 0.071526 13.98 5.54 0.899679
Two Pair 6.745 2,461,602,879,972 0.123492 8.10 1.09 0.832956
Jacks or Better 0.9117 3,355,181,412,444 0.168321 5.94 1.38 0.153458
Nothing 0 11,777,143,076,040 0.590830 1.69 8.42 0.000000
Totals 19,933,230,517,200 1.000000 2.44 737.95 3.775193

The following table shows the basic strategy:

### Basic Strategy

Type of Play Play Details
Pat Hand Full House; Straight Flush; Royal Flush
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
4 to a Royal Flush TJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand Straight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
3 to a Royal Flush TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
1 Pair 22; 33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA
4 to a Straight 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 234; 235; 236; 245; 246; 256; 345; 346...
4 to a Straight A234; JQKA
4 to a Straight 2346; 9JQK
4 to a Straight 89JQ; TQKA
4 to a Straight 789J; 9TQK
4 to a Straight
(more)A235; A245; A345; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679...
3 to a Flush
(more)2TA; 2TK; 2JA; 2QA; 2KA; 3TA; 3TK; 3JA; 3QA; 3KA; 4TA; 4TK; 4JA; 4QA...
2 to a Royal Flush TJ; TQ; TK; JA; JQ; JK; QA; QK; KA
3 to a Flush
(more)23T; 23J; 23Q; 23K; 24T; 24J; 24Q; 24K; 25T; 25J; 25Q; 25K; 26A; 26T...
2 to a Royal Flush TA
3 to a Flush
(more)237; 238; 239; 247; 248; 249; 257; 258; 259; 267; 268; 269; 278; 279...
2 to a Straight Flush 78; 89; 9J
3 to a Straight 9TJ; TJQ
2 to a Straight Flush 45; 56; 67; 9T
2 to a Straight Flush 8J; 9Q
Single Card a Jack
Single Card a Queen
Single Card a King; an Ace
3 to a Straight 456; 567; 678; 789; 89T
2 to a Straight Flush 68; 8T
2 to a Straight Flush 57; 79
3 to a Straight 345
2 to a Straight Flush 34; 46
2 to a Straight Flush A2; A3; A4; A5; 35; 7T
Single Card a Ten
2 to a Straight Flush 24; 25; 47; 58
2 to a Straight Flush 23; 36
2 to a Straight Flush 69
Single Card a Nine
Single Card an Eight

The following table shows the exceptions to the basic strategy:

### Basic Strategy Exceptions

Right Play Wrong Play Pattern(s)
Single Card: a King Single Card: a Queen
(more)2♣3♣8♦Q♦K♥
Single Card: a Queen Single Card: a Jack
(more)2♣3♣7♦J♦Q♥
Single Card: a King Single Card: an Ace
(more)2♣3♣6♦K♥A♠
Single Card: an Ace Single Card: a Queen
(more)6♣7♦8♣Q♦A♥
2 to a Straight Flush: 8T Single Card: an Ace
(more)2♣3♣8♦10♦A♥
2 to a Straight Flush: 8T Single Card: a King
(more)2♣3♣8♦10♦K♥
2 to a Straight Flush: 79 Single Card: an Ace
(more)2♣3♣7♦9♦A♥
3 to a Straight: 89T Single Card: a King
(more)2♣8♣9♦10♥K♦
2 to a Straight Flush: 68 Single Card: an Ace
(more)2♣3♣6♦8♦A♥
2 to a Straight Flush: 79 Single Card: a King
(more)2♣3♣7♦9♦K♥
2 to a Straight Flush: 8T Single Card: a Queen
(more)2♣3♦8♥10♥Q♣
2 to a Straight Flush: 46 Single Card: an Ace
(more)2♣4♦6♦8♥A♣
2 to a Straight Flush: 79 Single Card: a Queen
(more)2♣3♦7♥9♥Q♣
Single Card: a Jack 2 to a Straight Flush: 9Q
(more)2♣3♣9♦J♥Q♦
Single Card: an Ace Single Card: a King
(more)2♣6♦9♥K♥A♦
2 to a Straight Flush: 57 Single Card: an Ace
(more)2♣5♦7♦8♥A♣
2 to a Straight Flush: 34 Single Card: a King
(more)3♣4♣7♦8♥K♦
2 to a Straight Flush: 35 Single Card: a King
(more)3♣5♣7♦8♥K♦
2 to a Straight Flush: 68 Single Card: a King
(more)2♣3♣6♦8♦K♥
2 to a Straight Flush: 46 Single Card: a King
(more)2♣4♦6♦9♥K♣
3 to a Flush: 2JK 2 to a Royal Flush: JK
(more)2♣3♦10♦J♣K♣
3 to a Flush: 3JK 2 to a Royal Flush: JK
(more)2♣3♦10♣J♦K♦
3 to a Flush: 4JK 2 to a Royal Flush: JK
(more)2♣4♦10♣J♦K♦
3 to a Flush: 5JK 2 to a Royal Flush: JK
(more)2♣5♦10♣J♦K♦
3 to a Flush: 6JK 2 to a Royal Flush: JK
(more)2♣6♦10♣J♦K♦
3 to a Flush: 2QK 2 to a Royal Flush: QK
(more)2♣3♦10♦Q♣K♣
3 to a Flush: 3QK 2 to a Royal Flush: QK
(more)2♣3♦10♣Q♦K♦
3 to a Flush: 4QK 2 to a Royal Flush: QK
(more)2♣4♦10♣Q♦K♦
3 to a Flush: 5QK 2 to a Royal Flush: QK
(more)2♣5♦10♣Q♦K♦
3 to a Flush: 6QK 2 to a Royal Flush: QK
(more)2♣6♦10♣Q♦K♦
3 to a Flush: 7QK 2 to a Royal Flush: QK
(more)2♣7♦10♣Q♦K♦
3 to a Flush: 8QK 2 to a Royal Flush: QK
(more)2♣8♦10♣Q♦K♦
2 to a Straight Flush: 57 Single Card: a King
(more)2♣3♦5♥7♥K♣
3 to a Flush: 7JK 2 to a Royal Flush: JK
(more)2♣7♦10♣J♦K♦
3 to a Flush: 8JK 2 to a Royal Flush: JK
(more)2♣8♦10♣J♦K♦
Single Card: an Eight Single Card: a Nine
(more)2♣3♦4♥8♠9♣
2 to a Straight Flush: 34 Single Card: an Ace
(more)3♣4♣7♦8♥A♦
2 to a Straight Flush: 35 Single Card: an Ace
(more)3♣5♣7♦8♥A♦
2 to a Straight Flush: 68 Single Card: a Queen
(more)2♣3♦6♥8♥Q♣
2 to a Straight Flush: 34 Single Card: a Queen
(more)3♣4♣8♦9♥Q♦
2 to a Straight Flush: 35 Single Card: a Queen
(more)3♣5♣8♦9♥Q♦
2 to a Straight Flush: 46 Single Card: a Queen
(more)4♣6♣8♦9♥Q♦
2 to a Straight Flush: 47 Single Card: a Ten
(more)2♣3♦4♥7♥10♣
Single Card: a Seven Single Card: a Nine
(more)2♣3♦4♥7♠9♣
2 to a Straight Flush: 69 Single Card: a Ten
(more)2♣3♦6♥9♥10♣
2 to a Straight Flush: 57 Single Card: a Queen
(more)2♣5♦7♦10♣Q♥
3 to a Straight: 456 Single Card: an Ace
(more)4♣5♦6♣10♥A♦
Single Card: a Jack 2 to a Straight Flush: 56
(more)2♣5♦6♦7♣J♥
4 to a Straight: A235 4 to a Straight: 2356
(more)2♣3♣5♦6♥A♦
4 to a Straight: A245 4 to a Straight: 2456
(more)2♣4♣5♦6♥A♦
4 to a Straight: A345 4 to a Straight: 3457
(more)3♣4♣5♦7♥A♦
2 to a Straight Flush: 58 Single Card: a Ten
(more)2♣3♣5♦8♦10♥
Single Card: a Jack 2 to a Straight Flush: 45
(more)2♣4♦5♦7♣J♥
Single Card: a Six Single Card: a Nine
(more)2♣3♦6♥8♣9♦
Single Card: a Jack 2 to a Straight Flush: 67
(more)2♣5♣6♦7♦J♥
Single Card: a Jack 2 to a Straight Flush: 78
(more)2♣6♣7♦8♦J♥
Single Card: a Jack 2 to a Straight Flush: 89
(more)2♣6♣8♦9♦J♥
Single Card: a Seven Single Card: an Eight
(more)2♣3♦4♥7♠8♣
2 to a Straight Flush: 23 Single Card: a Ten
(more)2♣3♣6♦7♥10♦
2 to a Straight Flush: 24 Single Card: a Ten
(more)2♣4♣6♦7♥10♦
2 to a Straight Flush: 68 Single Card: a Jack
(more)2♣6♦8♦J♣Q♥
Single Card: a Five Single Card: a Nine
(more)2♣3♦5♥8♣9♦
2 to a Straight Flush: 25 Single Card: a Ten
(more)2♣5♣6♦8♥10♦
2 to a Straight Flush: 36 Single Card: a Ten
(more)2♣3♦6♦8♥10♣
Single Card: a Nine 2 to a Straight Flush: 24
(more)2♣3♦4♣7♦9♥
Single Card: a Nine 2 to a Straight Flush: 25
(more)2♣3♦5♣7♦9♥
2 to a Straight Flush: 45 2 to a Straight Flush: 89
(more)4♣5♣8♦9♦10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 7T
(more)2♣3♦5♦7♥10♥
2 to a Straight Flush: 45 2 to a Straight Flush: 9T
(more)4♣5♣8♦9♥10♥
Single Card: a Five Single Card: an Eight
(more)2♣3♦5♥7♣8♦
2 to a Straight Flush: 57 Single Card: a Jack
(more)2♣5♦7♦10♥J♣
Single Card: a Nine 2 to a Straight Flush: 23
(more)2♣3♣4♦7♥9♠
Single Card: a Queen 2 to a Straight Flush: 45
(more)2♣4♦5♦7♣Q♥
Single Card: a Queen 2 to a Straight Flush: 56
(more)2♣5♦6♦7♣Q♥
Single Card: a Nine 2 to a Straight Flush: 47
(more)2♣4♦5♣7♦9♥
2 to a Straight Flush: 23 2 to a Straight Flush: 7T
(more)2♣3♣7♦8♥10♦
2 to a Straight Flush: 24 2 to a Straight Flush: 7T
(more)2♣4♣7♦8♥10♦
2 to a Straight Flush: 25 2 to a Straight Flush: 7T
(more)2♣5♣7♦8♥10♦
2 to a Straight Flush: 56 2 to a Straight Flush: 9T
(more)5♣6♣9♦10♦Q♥
2 to a Straight Flush: 34 2 to a Straight Flush: 8J
(more)3♣4♣8♦9♥J♦
2 to a Straight Flush: 35 2 to a Straight Flush: 8J
(more)3♣5♣8♦9♥J♦
2 to a Straight Flush: 45 2 to a Straight Flush: 9J
(more)4♣5♣9♦10♥J♦
2 to a Straight Flush: 34 3 to a Straight: 789
(more)3♣4♣7♦8♥9♦
2 to a Straight Flush: 34 3 to a Straight: 89T
(more)3♣4♣8♦9♥10♦
2 to a Straight Flush: 35 3 to a Straight: 89T
(more)3♣5♣8♦9♥10♦
2 to a Straight Flush: 45 3 to a Straight: 9TJ
(more)4♣5♣9♦10♦J♥
2 to a Straight Flush: 56 3 to a Straight: 9TJ
(more)5♣6♣9♦10♦J♥
3 to a Straight: JQK Single Card: a Jack 7♣8♦J♣Q♦K♥
2 to a Straight Flush: A2 Single Card: a King 2♣9♦10♥K♦A♣
2 to a Straight Flush: A3 Single Card: a King 3♣9♦10♥K♦A♣
2 to a Straight Flush: A4 Single Card: a King 4♣9♦10♥K♦A♣
2 to a Straight Flush: A5 Single Card: a King 5♣9♦10♥K♦A♣
3 to a Straight: 89T Single Card: an Ace 8♣9♦10♥K♣A♦
2 to a Straight Flush: 8J 2 to a Straight Flush: 45 3♣4♦5♦8♥J♥
2 to a Straight Flush: 8J 2 to a Straight Flush: 56 3♣5♦6♦8♥J♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 56 4♣5♦6♦9♥Q♥
2 to a Straight Flush: 9Q 2 to a Straight Flush: 67 4♣6♦7♦9♥Q♥
2 to a Straight Flush: 34 2 to a Straight Flush: 68 3♣4♣6♦8♦9♥
2 to a Straight Flush: 35 2 to a Straight Flush: 68 3♣5♣6♦8♦10♥
2 to a Straight Flush: 34 2 to a Straight Flush: 79 3♣4♣7♦9♦10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 79 3♣5♣7♦9♦10♥
2 to a Straight Flush: 34 2 to a Straight Flush: 8T 3♣4♣7♦8♥10♥
2 to a Straight Flush: 35 2 to a Straight Flush: 8T 3♣5♣7♦8♥10♥
2 to a Straight Flush: 56 2 to a Straight Flush: 9J 5♣6♣9♦10♥J♦
2 to a Straight Flush: 34 2 to a Straight Flush: 9Q 3♣4♣9♦10♥Q♦
2 to a Straight Flush: 35 2 to a Straight Flush: 9Q 3♣5♣9♦10♥Q♦
2 to a Straight Flush: 46 2 to a Straight Flush: 9Q 4♣6♣9♦10♥Q♦
4 to a Straight Flush: 9TJQ Pat Hand: Straight
(more)8♣9♦10♦J♦Q♦